Asymptotic stability of the sine-Gordon kink under odd perturbations
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Publication:6143364
DOI10.1215/00127094-2022-0090arXiv2106.09605OpenAlexW3168607659MaRDI QIDQ6143364
Jonas Lührmann, Wilhelm Schlag
Publication date: 5 January 2024
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.09605
Stability in context of PDEs (35B35) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)
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Cites Work
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- Bilinear dispersive estimates via space-time resonances. I: The one-dimensional case
- Global solutions for 2D quadratic Schrödinger equations
- A new proof of long-range scattering for critical nonlinear Schrödinger equations.
- Global dynamics above the ground state energy for the one-dimensional NLKG equation
- Semiclassical microlocal normal forms and global solutions of modified one-dimensional KG equations
- Almost global existence for cubic nonlinear Schrödinger equations in one space dimension
- On asymptotic stability of moving kink for relativistic Ginzburg-Landau equation
- Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems
- On asymptotic stability of kink for relativistic Ginzburg-Landau equations
- Stability theory for solitary-wave solutions of scalar field equations
- The initial value problem for the cubic nonlinear Klein-Gordon equation
- On the formation of singularities in the critical \(O(3)\) \(\sigma \)-model
- Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
- The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
- Long range scattering for the cubic Dirac equation on \(\mathbb{R}^{1+1}\).
- The nonlinear Schrödinger equation with a potential
- Nonlinear Schrödinger equations with exceptional potentials
- Global solutions of the gravity-capillary water-wave system in three dimensions
- Nonlinear wave and Schrödinger equations. I: Instability of periodic and quasiperiodic solutions
- The Euler-Maxwell system for electrons: global solutions in 2D
- A sufficient condition for asymptotic stability of kinks in general (1+1)-scalar field models
- Asymptotics for 1D Klein-Gordon equations with variable coefficient quadratic nonlinearities
- On asymptotic stability of nonlinear waves
- Global existence and scattering for quadratic NLS with potential in three dimensions
- Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line
- Soliton dynamics for the 1D NLKG equation with symmetry and in the absence of internal modes
- On the stability of blowup solutions for the critical corotational wave-map problem
- 3D quadratic NLS equation with electromagnetic perturbations
- Nonlinear stability of 2-solitons of the sine-Gordon equation in the energy space
- A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation
- The sine-Gordon model and its applications. From pendula and Josephson junctions to gravity and high-energy physics
- On the variational structure of breather solutions. I: Sine-Gordon equation
- Asymptotic stability of solitons for mKdV
- The 1-dimensional nonlinear Schrödinger equation with a weighted \(L^1\) potential
- Existence globale et comportement asymptotique pour l'équation de Klein–Gordon quasi linéaire à données petites en dimension 1
- Dispersive decay for the 1D Klein-Gordon equation with variable coefficient nonlinearities
- Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential
- Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation
- Quadratic nonlinear Klein-Gordon equation in one dimension
- Kink dynamics in the $\phi ^4$ model: Asymptotic stability for odd perturbations in the energy space
- Global bounds for the cubic nonlinear Schrödinger equation (NLS) in one space dimension
- Nonlinear Resonances with a Potential: Multilinear Estimates and an Application to NLS
- SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS
- Scattering for the Klein-Gordon equation with quadratic and variable coefficient cubic nonlinearities
- Spectra of Linearized Operators for NLS Solitary Waves
- Global Solutions for 3D Quadratic Schrodinger Equations
- Normal forms and quadratic nonlinear Klein-Gordon equations
- Asymptotics for large time of solutions to the nonlinear Schrodinger and Hartree equations
- Method for Solving the Sine-Gordon Equation in Laboratory Coordinates
- Remark on the asymptotic behavior of the klein gordon equation in ℝn+1
- Long‐time asymptotics for solutions of the NLS equation with initial data in a weighted Sobolev space
- Global existence and asymptotics for quasi-linear one-dimensional Klein-Gordon equations with mildly decaying Cauchy data
- A REMARK ON LONG RANGE SCATTERING FOR THE NONLINEAR KLEIN–GORDON EQUATION
- Topological Solitons
- Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential
- Quadratic Klein-Gordon equations with a potential in one dimension
- Decay and Asymptotics for the One-Dimensional Klein--Gordon Equation with Variable Coefficient Cubic Nonlinearities
- Scattering and small data completeness for the critical nonlinear Schrödinger equation
- Why are solitons stable?
- Long-Time Dispersive Estimates for Perturbations of a Kink Solution of One-Dimensional Cubic Wave Equations
- On Modified Scattering for 1D Quadratic Klein–Gordon Equations With Non-Generic Potentials
- Global solutions for the gravity water waves equation in dimension 3
- On asymptotic stability of the sine-Gordon kink in the energy space
